What is the value of the missing angle?

? = 109°

Step-by-step explanation:

A well labeled diagram is attached for better illustration.

From the diagram,

x = 75° (because they are vertically opposite angles

q = 45° (because they are vertically opposite angles)

The sum of the angles in a triangle is 180 degrees. Therefore

q + x + w = 180

45 + 75 + w = 180

w = 180 - 120

w = 60°

The sum of the angles on a straight line is 180°. It means that

w + 79 + y = 180

60 + 79 + y = 180

y = 180 - 139

y = 41°

y + 68 + r = 180(sum of angles in a triangle)

41 + 68 + r = 180

r = 180 - 109

r = 71°

The angle that we are looking for is z = ?

r + z = 180(sum of angles on a straight line)

71 + z = 180

z = 180 - 71

z = 109°

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